HSPT Math : Geometry
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #1 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d
What is the area of the figure below?
To find the area of the figure above, we need to split the figure into two rectangles.
Using our area formula, 
To find our final answer, we need to add the areas together.
Example Question #237 : Geometric Measurement: Understanding Concepts Of Area And Relating Area To Multiplication And To Addition
If the formula to find the area of the white section of the rectangle below is 
Both the purple section and the white section have the same length, 
Example Question #111 : Geometry
What is the perimeter of a figure with seven sides, four of which measure 9 inches, two of which measure 10 inches, and one of which measures a foot?
Add the side measures, in inches (changing one foot to 12 inches):
Example Question #1 : Perimeter Of A Triangle
What is the perimeter of a right triangle with hypotenuse 
It cannot be determined from the information given.
Using the Pythagorean Theorem, the length of the second leg can be determined.
We are given the length of the hypotenuse and one leg.
The perimeter of the triangle is the sum of the lengths of the sides.
Example Question #1 : Right Triangles
Which of these polygons has the same perimeter as a right triangle with legs 6 feet and 8 feet?
None of the other responses is correct.
A regular hexagon with sidelength one yard.
A regular decagon with sidelength one yard.
A regular pentagon with sidelength one yard.
A regular octagon with sidelength one yard.
A regular octagon with sidelength one yard.
A right triangle with legs 6 feet and 8 feet has hypotentuse 10 feet, as this is a right triangle that confirms to the well-known Pythagorean triple 6-8-10. The perimeter is therefore 
We are looking for a polygon with this perimeter. Each choice is a polygon with all sides one yard long, so we want the polygon with eight sides - the regular octagon is the correct choice.
Example Question #1 : Trapezoids
The perimeter of the following trapezoid is equal to 23 cm. Solve for 
The perimeter is equal to the sum of all of the sides.
Example Question #1 : Squares
Use this image for the following problem.
What is the perimeter of the square in this picture?
The question only is looking for a part of the picture, just the square. With squares, the rule is that all the sides are equivalent, meaning the same lengths and all angles are right angles.
Perimeter means adding up all the sides together. So we just need to add the lengths of the sides of the square. Uh oh, we only have one side that is listed.
Again, remember that with squares the sides are equivalent, and we know one side is 5 inches. We just need to take 
Our perimeter is 
Example Question #1 : How To Find The Perimeter Of Square
Sandy wants to put a border around her son’s nursery. If all four square walls in the room have the same width and use up 
When Sandy puts the border around her son's room, she will need enough to cover the perimeter. Since the room has four walls equal in length, we know that the room is a square. The perimeter of a square can by found by adding all the sides together, or by multiplying the length of one side by 4. This can be written as:
Since we know that Sandy used 
Now, in order to isolate the variable, we can divide both sides by four.
The left-hand side simplifies to:
The right-hand side simplifies to:
When we solve, we find that the length of each wall is 
Example Question #1 : How To Find The Perimeter Of Square
Find the perimenter:
The perimeter is equal to the sum of the length of all sides. Each side is equal to 
Example Question #7 : How To Find The Perimeter Of A Rectangle
You are given equilateral triangle 
with 
What is the perimeter of Rectangle 
Also, since opposite sides of a rectangle are congruent,
The perimeter of Rectangle 
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